B-Fredholm Elements in Rings and Algebras
Spectral Theory
2016-09-27 v1 Rings and Algebras
Abstract
In this paper, we study B-Fredholm elements in rings and algebras. After characterising these elements in terms of generalized Fredholm elements, we will give a condition on the socle of a unital primitive Banach algebra , under which we prove that an element of is a B-Fredholm element of index if and only if it is the sum of a Drazin invertible element of and an element of the socle of .
Cite
@article{arxiv.1609.07995,
title = {B-Fredholm Elements in Rings and Algebras},
author = {Berkani Mohammed},
journal= {arXiv preprint arXiv:1609.07995},
year = {2016}
}
Comments
11 pages